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Finding the Third Proportional to 153.47 and 168.94

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Solution

The third proportional to 153.47 and 168.94 is: 185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.47 : 168.94 = 168.94 : x
  2. Step 2: Convert to fraction form
    153.47/168.94 = 168.94/x
  3. Step 3: Cross multiply
    153.47x = 168.94 × 168.94
  4. Step 4: Simplify right side
    153.47x = 28,539.88
  5. Step 5: Solve for x
    x = 28,539.88/153.47
  6. Step 6: Final answer
    x = 185.97

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.